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Mirrors > Home > ILE Home > Th. List > ax10oe | Unicode version |
Description: Quantifier Substitution for existential quantifiers. Analogue to ax10o 1603 but for rather than . (Contributed by Jim Kingdon, 21-Dec-2017.) |
Ref | Expression |
---|---|
ax10oe |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-ia3 101 | . . . 4 | |
2 | 1 | alimi 1344 | . . 3 |
3 | exim 1490 | . . 3 | |
4 | 2, 3 | syl 14 | . 2 |
5 | ax11e 1677 | . . 3 | |
6 | 5 | sps 1430 | . 2 |
7 | 4, 6 | syld 40 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wceq 1243 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-11 1397 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: (None) |
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